1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klasskru [66]
3 years ago
9

15. Use the unit circle to find the value of sin 3x/2 and cos 3x/2

Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

3xpi/2 is 270 degree counter-clockwise from Ox

That time P(x,y) is (0,-1)

=> x= 0 and y = -1  as you can see in picture.

=> Cos 3pi/2 = x = 0

=> Sin 3pi/2 = y = -1

Step-by-step explanation:

Not so slow.

You might be interested in
Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4
Alik [6]

Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

(x-h)^2+(y-k)^2=r^2

We are given the equation of a circle as

3x^2+3y^2-6\alpha x+12y-3\alpha=0

Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

\alpha=-4,\ \alpha=3

Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a
koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9​:30a.m. averaging 57mph.

Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

\frac{57}{2}= 28.5 miles

Let t is the time taken by Scully to catch up with​ Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

28.5+57t=60t

28.5=60t-57t

28.5=3t\\t=9.5

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0
3 years ago
HELP I NEED ANSWERS FAST ITS E.L.A
Pavel [41]
“huh” is the interjection!
5 0
3 years ago
Read 2 more answers
Which linear equation has a negative slope? А y = 6 в у= y = – 50 y = 2x + 5​
iris [78.8K]

Answer:

y = - 50

Step-by-step explanation:

m = slope

5 0
3 years ago
Read 2 more answers
How many $1 dollar bills do i need to circle the earth? Thanks
ozzi
1 billion dollars × 6 inches per dollar = 6 billion inches / 63,360 inches per mile = 94,636.97 miles coverted by1 billion bills. answer = 94,636.97 miles 
8 0
3 years ago
Other questions:
  • How do I solve for c and y 72x+84y=4920
    6·1 answer
  • Sally buys a coffee table for $300. She refinished it and then sells it for $405. What is the percent increase
    14·2 answers
  • 39,477 round to the nearest 1000 would be 39,500 or 39,000?
    14·2 answers
  • The Blair family was one of the first to come to the original 13 colonies (now part of the USA). They had 4 children. Assuming t
    13·1 answer
  • Please help me and fast
    7·1 answer
  • What is the slope of the line perpendicular to: y= −1/3x −5
    14·1 answer
  • Find the slope of the line -x = -3y + 9
    5·2 answers
  • Need answers quickly!
    15·1 answer
  • HELPS PLS DUE IN 5 min:( ILL MARK BRAINIEST!!!<br><br> Where is the magnetic field in a hair dryer
    12·1 answer
  • A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!